Units – Debye as a measure of electric dipole moment Electric dipole moment is often reported in Debye (D). Choose the correct SI-equivalent for 1 Debye.

Difficulty: Easy

Correct Answer: 3.33 × 10^-30 C·m

Explanation:


Introduction:
The Debye (D) is a convenient unit for molecular-scale dipole moments used in chemistry, materials science, and dielectrics. Converting Debye to SI units (C·m) helps compare theoretical predictions and experimental measurements consistently.


Given Data / Assumptions:

  • Definition of dipole moment p as charge × separation.
  • Standard conversion constants between cgs electrostatic and SI units.


Concept / Approach:

By definition, 1 Debye ≈ 3.335 64 × 10^-30 C·m. For most engineering calculations, 3.33 × 10^-30 C·m is used as a rounded value. This small magnitude reflects molecular-scale separations and elementary charges in polar molecules.


Step-by-Step Solution:

Recall definition: 1 D = 10^-18 esu·cm.Convert to SI: 1 esu of charge ≈ 3.335 64 × 10^-10 C.Hence 1 D = 3.335 64 × 10^-30 C·m ≈ 3.33 × 10^-30 C·m.


Verification / Alternative check:

Typical water dipole moment ≈ 1.85 D translates to ≈ 6.17 × 10^-30 C·m, consistent with literature values.


Why Other Options Are Wrong:

Options with m^2 have wrong dimensions; 10^-10 C·m is orders of magnitude too large; 10^-28 C·m is also incorrect.


Common Pitfalls:

Mixing up cgs and SI, or confusing Debye with Coulomb-meter-squared.


Final Answer:

3.33 × 10^-30 C·m

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